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Finding the Fourth Proportional to 7,003.80, 10,505.70 and 5,837.40

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Solution

The fourth proportional to 7,003.80, 10,505.70 and 5,837.40 is: 8,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.80 : 10,505.70 = 5,837.40 : x
  2. Step 2: Convert to fraction form
    7,003.80/10,505.70 = 5,837.40/x
  3. Step 3: Cross multiply
    7,003.80x = 10,505.70 × 5,837.40
  4. Step 4: Simplify right side
    7,003.80x = 61,325,973.18
  5. Step 5: Solve for x
    x = 61,325,973.18/7,003.80
  6. Step 6: Final answer
    x = 8,756.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.